Question

PLEASE HELP ME !!!

Hyun is comparing two numbers. He knows the larger number is twice the value of 4 more than the smaller number, x. He also knows their difference is 11. Which equation can he use to find the value of the smaller number, x?


A) x = 4 x + 2


B) x = 2 (x + 4)


C) (4 x + 2) - x = 11


D) 2 (x + 4) - x = 11

Answer 1

D

Explanation:

Answer 2

Option D.

`2(x+4)-x=11`

Explanation:

Let

x ----> the smaller number

y ----> the larger number

we know that

The larger number is twice the value of 4 more than the smaller number

`y=2(x+4)` ----> equation A

Their difference is 11

`y-x=11` ----> equation B

substitute equation A in equation B

`2(x+4)-x=11`

Solve for x

`2x+8-x=11\\x=11-8\\x=3`

Find the value of y

`y=2(3+4)=14`

therefore

The numbers are 3 and 14